We survey mathematical developments in the inverse method of electrical impedance
tomography which consists in determining the electrical properties of a medium by making …

This survey article deals mainly with two inverse problems and the relation between them.
The first inverse problem we consider is whether one can determine the electrical …

We describe recent theoretical and experimental progress on making objects invisible to
detection by electromagnetic waves. Ideas for devices that would once have seemed fanciful …

We use X s, b-inspired spaces to prove a uniqueness result for Calderón's problem in a
Lipschitz domain Ω under the assumption that the conductivity lies in the space W 1,∞(Ω‾) …

A strategy for regularizing the inversion procedure for the twodimensional D-bar
reconstruction algorithm based on the global uniqueness proof of Nachman [Ann. Math. 143 …

We prove for a two-dimensional bounded domain that the Cauchy data for the Schrödinger
equation measured on an arbitrary open subset of the boundary uniquely determines the …

We describe recent theoretical and experimental progress on making objects invisible. Ideas
for devices that would have once seemed fanciful may now be at least approximately …

We prove uniqueness for the Calderón problem with Lipschitz conductivities in higher
dimensions. Combined with the recent work of Haberman, who treated the three-and four …

We study the inverse problem of determining the coefficients of the fractional power of a
general second order elliptic operator given in the exterior of an open subset of the …

We prove uniqueness in the inverse conductivity problem for uniformly elliptic conductivities
in W^ s, p (Ω) W s, p (Ω), where Ω ⊂ R^ n Ω⊂ R n is Lipschitz, 3 ≦ n ≦ 6 3≤ n≤ 6, and s …